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Wordabulary

completing the square

Pronunciation
Noun B2 Upper-intermediate

Quick answer

A method of rewriting a quadratic expression so it contains a perfect square, used to solve equations or find a parabola's turning point.

"Completing the square turned x squared plus six x into (x+3) squared minus nine."

Usage notes

It directly reveals a quadratic's turning point, without needing to graph it first.

Test yourself

Which word fits the gap? "_____ turned x squared plus six x into (x+3) squared minus nine."

Answer: completing the square

In your own words, what does "completing the square" mean?

A method of rewriting a quadratic expression so it contains a perfect square, used to solve equations or find a parabola's turning point.

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